On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements

Elena Beretta, Cecilia Cavaterra, Luca Ratti

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the model we determine an asymptotic expansion of the perturbed potential due to the presence of small conductivity inhomogeneities (modelling small ischemic regions in the cardiac tissue) and use it to detect the anomalies from partial boundary measurements. This is done by determining the topological gradient of a suitable boundary misfit functional. The robustness of the algorithm is confirmed by several numerical experiments.

Original languageEnglish (US)
Pages (from-to)5659-5685
Number of pages27
JournalNonlinearity
Volume33
Issue number11
DOIs
StatePublished - Nov 2020

Keywords

  • Cardiac electrophysiology
  • Inverse problems
  • Nonlinear boundary value problem

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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